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CarlosPinho Aug 4th, 2016 70 Never
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  1. Thu Jul 28 10:57:35 2016  Msieve v. 1.53 (SVN Unversioned directory)
  2. Thu Jul 28 10:57:35 2016  random seeds: 6c55686f e1e16f4f
  3. Thu Jul 28 10:57:35 2016  factoring 312346121266905818737551340997069377377312975060556205692878163308891890173301547965816595489702474383636047481988565331201611627051999059329164888593743021354613333544793212961675620733560557649660647153998807686534955776393 (225 digits)
  4. Thu Jul 28 10:57:36 2016  searching for 15-digit factors
  5. Thu Jul 28 10:57:38 2016  commencing number field sieve (225-digit input)
  6. Thu Jul 28 10:57:38 2016  R0: 323257909929174534292273980721360271853387
  7. Thu Jul 28 10:57:38 2016  R1: -154742504910672534362390528
  8. Thu Jul 28 10:57:38 2016  A0: -2
  9. Thu Jul 28 10:57:38 2016  A1: 0
  10. Thu Jul 28 10:57:38 2016  A2: 0
  11. Thu Jul 28 10:57:38 2016  A3: 0
  12. Thu Jul 28 10:57:38 2016  A4: 0
  13. Thu Jul 28 10:57:38 2016  A5: 0
  14. Thu Jul 28 10:57:38 2016  A6: 3
  15. Thu Jul 28 10:57:38 2016  skew 0.94, size 3.194e-12, alpha 1.316, combined = 2.715e-13 rroots = 2
  16. Thu Jul 28 10:57:38 2016  
  17. Thu Jul 28 10:57:38 2016  commencing relation filtering
  18. Thu Jul 28 10:57:38 2016  setting target matrix density to 110.0
  19. Thu Jul 28 10:57:38 2016  estimated available RAM is 16039.4 MB
  20. Thu Jul 28 10:57:38 2016  commencing duplicate removal, pass 1
  21. Thu Jul 28 11:07:47 2016  error -5 reading relation 60485119
  22. Thu Jul 28 11:08:57 2016  error -1 reading relation 66092478
  23. Thu Jul 28 11:08:57 2016  error -1 reading relation 66097081
  24. Thu Jul 28 11:18:12 2016  error -9 reading relation 118701926
  25. Thu Jul 28 11:28:18 2016  error -1 reading relation 175304600
  26. Thu Jul 28 11:28:41 2016  error -9 reading relation 176428496
  27. Thu Jul 28 11:29:35 2016  error -15 reading relation 181559685
  28. Thu Jul 28 11:30:31 2016  error -15 reading relation 186288841
  29. Thu Jul 28 11:30:31 2016  error -15 reading relation 186288879
  30. Thu Jul 28 11:31:57 2016  error -15 reading relation 192542510
  31. Thu Jul 28 11:31:57 2016  error -15 reading relation 192550458
  32. Thu Jul 28 11:32:47 2016  error -9 reading relation 196583486
  33. Thu Jul 28 11:34:10 2016  error -15 reading relation 204097115
  34. Thu Jul 28 11:34:51 2016  error -9 reading relation 206970950
  35. Thu Jul 28 11:34:54 2016  error -9 reading relation 207093839
  36. Thu Jul 28 11:34:59 2016  error -1 reading relation 207414356
  37. Thu Jul 28 11:35:00 2016  error -5 reading relation 207527895
  38. Thu Jul 28 11:35:02 2016  error -9 reading relation 207636246
  39. Thu Jul 28 11:35:07 2016  error -1 reading relation 207825838
  40. Thu Jul 28 11:35:19 2016  error -9 reading relation 208723347
  41. Thu Jul 28 11:35:19 2016  error -9 reading relation 208725791
  42. Thu Jul 28 11:35:24 2016  error -1 reading relation 208991607
  43. Thu Jul 28 11:36:15 2016  error -9 reading relation 212889855
  44. Thu Jul 28 11:36:51 2016  error -9 reading relation 215419851
  45. Thu Jul 28 11:36:51 2016  error -5 reading relation 215422905
  46. Thu Jul 28 11:36:51 2016  error -15 reading relation 215423770
  47. Thu Jul 28 11:37:05 2016  error -9 reading relation 216566389
  48. Thu Jul 28 11:37:25 2016  error -9 reading relation 217719790
  49. Thu Jul 28 11:37:26 2016  error -1 reading relation 217763667
  50. Thu Jul 28 11:37:29 2016  error -15 reading relation 217937317
  51. Thu Jul 28 11:38:51 2016  skipped 80 relations with b > 2^32
  52. Thu Jul 28 11:38:51 2016  skipped 17 relations with composite factors
  53. Thu Jul 28 11:38:51 2016  found 46541463 hash collisions in 223962578 relations
  54. Thu Jul 28 11:39:03 2016  commencing duplicate removal, pass 2
  55. Thu Jul 28 11:43:04 2016  found 47479758 duplicates and 176482820 unique relations
  56. Thu Jul 28 11:43:04 2016  memory use: 1321.5 MB
  57. Thu Jul 28 11:43:05 2016  reading ideals above 179896320
  58. Thu Jul 28 11:43:05 2016  commencing singleton removal, initial pass
  59. Thu Jul 28 12:09:41 2016  memory use: 3012.0 MB
  60. Thu Jul 28 12:09:41 2016  reading all ideals from disk
  61. Thu Jul 28 12:10:17 2016  memory use: 2891.9 MB
  62. Thu Jul 28 12:10:25 2016  commencing in-memory singleton removal
  63. Thu Jul 28 12:10:31 2016  begin with 176482820 relations and 151537111 unique ideals
  64. Thu Jul 28 12:11:41 2016  reduce to 102810254 relations and 69156106 ideals in 16 passes
  65. Thu Jul 28 12:11:41 2016  max relations containing the same ideal: 29
  66. Thu Jul 28 12:11:46 2016  reading ideals above 720000
  67. Thu Jul 28 12:11:46 2016  commencing singleton removal, initial pass
  68. Thu Jul 28 12:32:49 2016  memory use: 2756.0 MB
  69. Thu Jul 28 12:32:49 2016  reading all ideals from disk
  70. Thu Jul 28 12:33:30 2016  memory use: 4056.4 MB
  71. Thu Jul 28 12:33:41 2016  keeping 88671674 ideals with weight <= 200, target excess is 527641
  72. Thu Jul 28 12:33:52 2016  commencing in-memory singleton removal
  73. Thu Jul 28 12:34:01 2016  begin with 102810255 relations and 88671674 unique ideals
  74. Thu Jul 28 12:35:30 2016  reduce to 102759124 relations and 88620514 ideals in 10 passes
  75. Thu Jul 28 12:35:30 2016  max relations containing the same ideal: 200
  76. Thu Jul 28 12:36:19 2016  removing 11900602 relations and 9900602 ideals in 2000000 cliques
  77. Thu Jul 28 12:36:22 2016  commencing in-memory singleton removal
  78. Thu Jul 28 12:36:30 2016  begin with 90858522 relations and 88620514 unique ideals
  79. Thu Jul 28 12:37:33 2016  reduce to 89846171 relations and 77682879 ideals in 8 passes
  80. Thu Jul 28 12:37:33 2016  max relations containing the same ideal: 191
  81. Thu Jul 28 12:38:15 2016  removing 9013355 relations and 7013355 ideals in 2000000 cliques
  82. Thu Jul 28 12:38:19 2016  commencing in-memory singleton removal
  83. Thu Jul 28 12:38:24 2016  begin with 80832816 relations and 77682879 unique ideals
  84. Thu Jul 28 12:39:08 2016  reduce to 80151007 relations and 69972572 ideals in 8 passes
  85. Thu Jul 28 12:39:08 2016  max relations containing the same ideal: 181
  86. Thu Jul 28 12:39:39 2016  removing 8147032 relations and 6147032 ideals in 2000000 cliques
  87. Thu Jul 28 12:39:41 2016  commencing in-memory singleton removal
  88. Thu Jul 28 12:39:46 2016  begin with 72003975 relations and 69972572 unique ideals
  89. Thu Jul 28 12:40:28 2016  reduce to 71388339 relations and 63195660 ideals in 9 passes
  90. Thu Jul 28 12:40:28 2016  max relations containing the same ideal: 165
  91. Thu Jul 28 12:40:57 2016  removing 7704674 relations and 5704674 ideals in 2000000 cliques
  92. Thu Jul 28 12:40:59 2016  commencing in-memory singleton removal
  93. Thu Jul 28 12:41:04 2016  begin with 63683665 relations and 63195660 unique ideals
  94. Thu Jul 28 12:41:37 2016  reduce to 63080804 relations and 56873129 ideals in 8 passes
  95. Thu Jul 28 12:41:37 2016  max relations containing the same ideal: 152
  96. Thu Jul 28 12:42:02 2016  removing 7431800 relations and 5431800 ideals in 2000000 cliques
  97. Thu Jul 28 12:42:04 2016  commencing in-memory singleton removal
  98. Thu Jul 28 12:42:08 2016  begin with 55649004 relations and 56873129 unique ideals
  99. Thu Jul 28 12:42:39 2016  reduce to 55027056 relations and 50801995 ideals in 9 passes
  100. Thu Jul 28 12:42:39 2016  max relations containing the same ideal: 140
  101. Thu Jul 28 12:43:01 2016  removing 7250278 relations and 5250278 ideals in 2000000 cliques
  102. Thu Jul 28 12:43:03 2016  commencing in-memory singleton removal
  103. Thu Jul 28 12:43:06 2016  begin with 47776778 relations and 50801995 unique ideals
  104. Thu Jul 28 12:43:34 2016  reduce to 47107545 relations and 44861424 ideals in 9 passes
  105. Thu Jul 28 12:43:34 2016  max relations containing the same ideal: 124
  106. Thu Jul 28 12:43:53 2016  removing 6076461 relations and 4442404 ideals in 1634057 cliques
  107. Thu Jul 28 12:43:55 2016  commencing in-memory singleton removal
  108. Thu Jul 28 12:43:58 2016  begin with 41031084 relations and 44861424 unique ideals
  109. Thu Jul 28 12:44:22 2016  reduce to 40484722 relations and 39856377 ideals in 9 passes
  110. Thu Jul 28 12:44:22 2016  max relations containing the same ideal: 113
  111. Thu Jul 28 12:44:39 2016  removing 126297 relations and 110016 ideals in 16281 cliques
  112. Thu Jul 28 12:44:40 2016  commencing in-memory singleton removal
  113. Thu Jul 28 12:44:42 2016  begin with 40358425 relations and 39856377 unique ideals
  114. Thu Jul 28 12:44:53 2016  reduce to 40358194 relations and 39746130 ideals in 4 passes
  115. Thu Jul 28 12:44:53 2016  max relations containing the same ideal: 113
  116. Thu Jul 28 12:45:01 2016  relations with 0 large ideals: 20168
  117. Thu Jul 28 12:45:01 2016  relations with 1 large ideals: 4560
  118. Thu Jul 28 12:45:01 2016  relations with 2 large ideals: 67527
  119. Thu Jul 28 12:45:01 2016  relations with 3 large ideals: 536846
  120. Thu Jul 28 12:45:01 2016  relations with 4 large ideals: 2332296
  121. Thu Jul 28 12:45:01 2016  relations with 5 large ideals: 6088489
  122. Thu Jul 28 12:45:01 2016  relations with 6 large ideals: 9986577
  123. Thu Jul 28 12:45:01 2016  relations with 7+ large ideals: 21321731
  124. Thu Jul 28 12:45:01 2016  commencing 2-way merge
  125. Thu Jul 28 12:45:21 2016  reduce to 26354399 relation sets and 25742335 unique ideals
  126. Thu Jul 28 12:45:21 2016  commencing full merge
  127. Thu Jul 28 12:54:26 2016  memory use: 3392.7 MB
  128. Thu Jul 28 12:54:28 2016  found 12154522 cycles, need 12128535
  129. Thu Jul 28 12:54:32 2016  weight of 12128535 cycles is about 1334769889 (110.05/cycle)
  130. Thu Jul 28 12:54:32 2016  distribution of cycle lengths:
  131. Thu Jul 28 12:54:32 2016  1 relations: 622013
  132. Thu Jul 28 12:54:32 2016  2 relations: 834935
  133. Thu Jul 28 12:54:32 2016  3 relations: 956291
  134. Thu Jul 28 12:54:32 2016  4 relations: 970534
  135. Thu Jul 28 12:54:32 2016  5 relations: 969450
  136. Thu Jul 28 12:54:32 2016  6 relations: 943945
  137. Thu Jul 28 12:54:32 2016  7 relations: 898237
  138. Thu Jul 28 12:54:32 2016  8 relations: 843422
  139. Thu Jul 28 12:54:32 2016  9 relations: 777010
  140. Thu Jul 28 12:54:32 2016  10+ relations: 4312698
  141. Thu Jul 28 12:54:32 2016  heaviest cycle: 28 relations
  142. Thu Jul 28 12:54:36 2016  commencing cycle optimization
  143. Thu Jul 28 12:54:56 2016  start with 100567914 relations
  144. Thu Jul 28 12:58:09 2016  pruned 4212785 relations
  145. Thu Jul 28 12:58:09 2016  memory use: 2717.5 MB
  146. Thu Jul 28 12:58:09 2016  distribution of cycle lengths:
  147. Thu Jul 28 12:58:09 2016  1 relations: 622013
  148. Thu Jul 28 12:58:09 2016  2 relations: 855528
  149. Thu Jul 28 12:58:09 2016  3 relations: 996683
  150. Thu Jul 28 12:58:09 2016  4 relations: 1008694
  151. Thu Jul 28 12:58:09 2016  5 relations: 1014616
  152. Thu Jul 28 12:58:09 2016  6 relations: 984236
  153. Thu Jul 28 12:58:09 2016  7 relations: 938779
  154. Thu Jul 28 12:58:09 2016  8 relations: 875047
  155. Thu Jul 28 12:58:09 2016  9 relations: 802154
  156. Thu Jul 28 12:58:09 2016  10+ relations: 4030785
  157. Thu Jul 28 12:58:09 2016  heaviest cycle: 28 relations
  158. Thu Jul 28 12:58:34 2016  RelProcTime: 7256
  159. Thu Jul 28 12:58:34 2016  
  160. Thu Jul 28 12:58:34 2016  commencing linear algebra
  161. Thu Jul 28 12:58:35 2016  read 12128535 cycles
  162. Thu Jul 28 12:58:56 2016  cycles contain 39992368 unique relations
  163. Thu Jul 28 13:04:04 2016  read 39992368 relations
  164. Thu Jul 28 13:05:08 2016  using 20 quadratic characters above 4294917295
  165. Thu Jul 28 13:07:52 2016  building initial matrix
  166. Thu Jul 28 13:15:10 2016  memory use: 5114.9 MB
  167. Thu Jul 28 13:15:15 2016  read 12128535 cycles
  168. Thu Jul 28 13:15:17 2016  matrix is 12128357 x 12128535 (5327.3 MB) with weight 1535085165 (126.57/col)
  169. Thu Jul 28 13:15:17 2016  sparse part has weight 1263113234 (104.14/col)
  170. Thu Jul 28 13:17:36 2016  filtering completed in 2 passes
  171. Thu Jul 28 13:17:39 2016  matrix is 12128152 x 12128330 (5327.3 MB) with weight 1535078098 (126.57/col)
  172. Thu Jul 28 13:17:39 2016  sparse part has weight 1263111256 (104.15/col)
  173. Thu Jul 28 13:18:39 2016  matrix starts at (0, 0)
  174. Thu Jul 28 13:18:41 2016  matrix is 12128152 x 12128330 (5327.3 MB) with weight 1535078098 (126.57/col)
  175. Thu Jul 28 13:18:41 2016  sparse part has weight 1263111256 (104.15/col)
  176. Thu Jul 28 13:18:41 2016  saving the first 48 matrix rows for later
  177. Thu Jul 28 13:18:43 2016  matrix includes 64 packed rows
  178. Thu Jul 28 13:18:44 2016  matrix is 12128104 x 12128330 (5094.5 MB) with weight 1303601263 (107.48/col)
  179. Thu Jul 28 13:18:44 2016  sparse part has weight 1214207097 (100.11/col)
  180. Thu Jul 28 13:18:45 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  181. Thu Jul 28 13:19:34 2016  commencing Lanczos iteration (4 threads)
  182. Thu Jul 28 13:19:34 2016  memory use: 4344.5 MB
  183. Thu Jul 28 13:22:45 2016  linear algebra at 0.0%, ETA 407h46m
  184. Thu Jul 28 13:23:48 2016  checkpointing every 30000 dimensions
  185.  
  186. [ . . . moved to different box - HDD showed signs of failure . . . ]
  187.  
  188. Sun Jul 31 12:41:03 2016  Msieve v. 1.53 (SVN unknown)
  189. Sun Jul 31 12:41:03 2016  random seeds: d1d2ce8e 140b96d9
  190. Sun Jul 31 12:41:03 2016  factoring 312346121266905818737551340997069377377312975060556205692878163308891890173301547965816595489702474383636047481988565331201611627051999059329164888593743021354613333544793212961675620733560557649660647153998807686534955776393 (225 digits)
  191. Sun Jul 31 12:41:05 2016  searching for 15-digit factors
  192. Sun Jul 31 12:41:05 2016  commencing number field sieve (225-digit input)
  193. Sun Jul 31 12:41:05 2016  R0: 323257909929174534292273980721360271853387
  194. Sun Jul 31 12:41:05 2016  R1: -154742504910672534362390528
  195. Sun Jul 31 12:41:05 2016  A0: -2
  196. Sun Jul 31 12:41:05 2016  A1: 0
  197. Sun Jul 31 12:41:05 2016  A2: 0
  198. Sun Jul 31 12:41:05 2016  A3: 0
  199. Sun Jul 31 12:41:05 2016  A4: 0
  200. Sun Jul 31 12:41:05 2016  A5: 0
  201. Sun Jul 31 12:41:05 2016  A6: 3
  202. Sun Jul 31 12:41:05 2016  skew 0.94, size 3.194e-12, alpha 1.316, combined = 2.715e-13 rroots = 2
  203. Sun Jul 31 12:41:05 2016  
  204. Sun Jul 31 12:41:05 2016  commencing linear algebra
  205. Sun Jul 31 12:41:17 2016  matrix starts at (0, 0)
  206. Sun Jul 31 12:41:19 2016  matrix is 12128152 x 12128330 (5327.3 MB) with weight 1535078098 (126.57/col)
  207. Sun Jul 31 12:41:19 2016  sparse part has weight 1263111256 (104.15/col)
  208. Sun Jul 31 12:41:19 2016  saving the first 48 matrix rows for later
  209. Sun Jul 31 12:41:20 2016  matrix includes 64 packed rows
  210. Sun Jul 31 12:41:22 2016  matrix is 12128104 x 12128330 (5094.5 MB) with weight 1303601263 (107.48/col)
  211. Sun Jul 31 12:41:22 2016  sparse part has weight 1214207097 (100.11/col)
  212. Sun Jul 31 12:41:22 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  213. Sun Jul 31 12:42:06 2016  commencing Lanczos iteration (4 threads)
  214. Sun Jul 31 12:42:06 2016  memory use: 4344.5 MB
  215. Sun Jul 31 12:42:07 2016  restarting at iteration 36533 (dim = 2310045)
  216. Sun Jul 31 12:42:54 2016  linear algebra at 19.1%, ETA 84h19m
  217. Sun Jul 31 12:43:07 2016  checkpointing every 120000 dimensions
  218. Wed Aug  3 16:35:29 2016  lanczos halted after 191792 iterations (dim = 12128104)
  219. Wed Aug  3 16:35:48 2016  recovered 39 nontrivial dependencies
  220. Wed Aug  3 16:35:48 2016  BLanczosTime: 273283
  221. Wed Aug  3 16:35:48 2016  
  222. Wed Aug  3 16:35:48 2016  commencing square root phase
  223. Wed Aug  3 16:35:48 2016  reading relations for dependency 1
  224. Wed Aug  3 16:35:49 2016  read 6062576 cycles
  225. Wed Aug  3 16:35:58 2016  cycles contain 19990370 unique relations
  226. Wed Aug  3 16:38:10 2016  read 19990370 relations
  227. Wed Aug  3 16:39:17 2016  multiplying 19990370 relations
  228. Wed Aug  3 16:52:54 2016  multiply complete, coefficients have about 530.56 million bits
  229. Wed Aug  3 16:52:55 2016  initial square root is modulo 57559
  230. Wed Aug  3 17:07:09 2016  found factor: 614162412493852934673110680894433213141384978441768200656822773287387700055657219801015479
  231. Wed Aug  3 17:07:09 2016  reading relations for dependency 2
  232. Wed Aug  3 17:07:11 2016  read 6064397 cycles
  233. Wed Aug  3 17:07:19 2016  cycles contain 19994216 unique relations
  234. Wed Aug  3 17:09:32 2016  read 19994216 relations
  235. Wed Aug  3 17:10:38 2016  multiplying 19994216 relations
  236. Wed Aug  3 17:24:08 2016  multiply complete, coefficients have about 530.67 million bits
  237. Wed Aug  3 17:24:10 2016  initial square root is modulo 57679
  238. Wed Aug  3 17:38:21 2016  GCD is 1, no factor found
  239. Wed Aug  3 17:38:21 2016  reading relations for dependency 3
  240. Wed Aug  3 17:38:22 2016  read 6065835 cycles
  241. Wed Aug  3 17:38:31 2016  cycles contain 19996904 unique relations
  242. Wed Aug  3 17:40:43 2016  read 19996904 relations
  243. Wed Aug  3 17:41:50 2016  multiplying 19996904 relations
  244. Wed Aug  3 17:55:22 2016  multiply complete, coefficients have about 530.73 million bits
  245. Wed Aug  3 17:55:24 2016  initial square root is modulo 57751
  246. Wed Aug  3 18:09:49 2016  sqrtTime: 5641
  247. Wed Aug  3 18:09:49 2016  p67 factor: 4851663206309790422620474922569545506861839481109914951577385256257
  248. Wed Aug  3 18:09:49 2016  p69 factor: 104824364547662622504270202663724645495614498424599086936165543090431
  249. Wed Aug  3 18:09:49 2016  p90 factor: 614162412493852934673110680894433213141384978441768200656822773287387700055657219801015479
  250. Wed Aug  3 18:09:49 2016  elapsed time 77:28:46
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